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Finding the Fourth Proportional to 24,576, 36,864 and 7,949.94

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Solution

The fourth proportional to 24,576, 36,864 and 7,949.94 is: 11,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576 : 36,864 = 7,949.94 : x
  2. Step 2: Convert to fraction form
    24,576/36,864 = 7,949.94/x
  3. Step 3: Cross multiply
    24,576x = 36,864 × 7,949.94
  4. Step 4: Simplify right side
    24,576x = 293,066,588.16
  5. Step 5: Solve for x
    x = 293,066,588.16/24,576
  6. Step 6: Final answer
    x = 11,924.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.